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Finding the Fourth Proportional to 13,547.44, 18,693.68 and 7,578.88

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Solution

The fourth proportional to 13,547.44, 18,693.68 and 7,578.88 is: 10,457.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,547.44 : 18,693.68 = 7,578.88 : x
  2. Step 2: Convert to fraction form
    13,547.44/18,693.68 = 7,578.88/x
  3. Step 3: Cross multiply
    13,547.44x = 18,693.68 × 7,578.88
  4. Step 4: Simplify right side
    13,547.44x = 141,677,157.48
  5. Step 5: Solve for x
    x = 141,677,157.48/13,547.44
  6. Step 6: Final answer
    x = 10,457.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.